fgtp_engine · Compute Hamiltonian H

Read the equation

This relation defines Hamiltonian H in the source section “fgtp_engine · Compute Hamiltonian H”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read Hamiltonian H as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

• This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.

Original context

        const std::vector<EnergyField>& fields
    ) noexcept;

    // ==============================================================================
    // Advanced Energy Computations
    // ==============================================================================

    /// Compute Hamiltonian H = T + V + E_field
    double compute_hamiltonian(const EnergyState& state) const noexcept;

    /// Compute Lagrangian L = T - V
    double compute_lagrangian(double kinetic, double potential) const noexcept;

    /// Compute action integral S = ∫ L dt (over trajectory)
    double compute_action(
        const std::vector<EnergyState>& trajectory,
        double dt = 1.0
    ) const noexcept;

Compute Hamiltonian H = T + V + E_field

Related builds